MUR8: A multirate extension of the eighth-order Dormand-Prince method

DOI10.1016/S0168-9274(97)00058-5zbMath0890.65082MaRDI QIDQ1372698

Christian Engstler, Christian Lubich

Publication date: 6 July 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesystemsDormand-Prince methodmultirate Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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A multirate time stepping strategy for stiff ordinary differential equations, A hybrid implicit-explicit adaptive multirate numerical scheme for time-dependent equations, Developments in Multirating for Coupled Systems, A posteriori analysis of a multirate numerical method for ordinary differential equations, A multirate W-method for electrical networks in state-space formulation

Cites Work

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• Multirate extrapolation methods for differential equations with different time scales
• Multirate linear multistep methods
• Multirate ROW methods and latency of electric circuits
• Split Runge-Kutta method for simultaneous equations
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• Stability Properties of Backward Euler Multirate Formulas